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Finding the Fourth Proportional to 280,705.80, 387,364.74 and 177,395.21

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Solution

The fourth proportional to 280,705.80, 387,364.74 and 177,395.21 is: 244,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,705.80 : 387,364.74 = 177,395.21 : x
  2. Step 2: Convert to fraction form
    280,705.80/387,364.74 = 177,395.21/x
  3. Step 3: Cross multiply
    280,705.80x = 387,364.74 × 177,395.21
  4. Step 4: Simplify right side
    280,705.80x = 68,716,649,398.90
  5. Step 5: Solve for x
    x = 68,716,649,398.90/280,705.80
  6. Step 6: Final answer
    x = 244,799.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.